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Finding the Fourth Proportional to 409,852.40, 565,595.19 and 228,564.52

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Solution

The fourth proportional to 409,852.40, 565,595.19 and 228,564.52 is: 315,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,852.40 : 565,595.19 = 228,564.52 : x
  2. Step 2: Convert to fraction form
    409,852.40/565,595.19 = 228,564.52/x
  3. Step 3: Cross multiply
    409,852.40x = 565,595.19 × 228,564.52
  4. Step 4: Simplify right side
    409,852.40x = 129,274,991,702.67
  5. Step 5: Solve for x
    x = 129,274,991,702.67/409,852.40
  6. Step 6: Final answer
    x = 315,418.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.